Applications of global optimization to portfolio analysis

Essays and Surveys in Global Optimization

Volumn , Issue , 2005, Pages 195-210

  Konno, Hiroshi ^a  

^a CHUO UNIVERSITY   (Japan)

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EID: 33745885375     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/0-387-25570-2_7     Document Type: Chapter

References (27)

1. Charnes, A. and Cooper, W.W. (1962). Programming with linear fractional functionys. Naval Reseach Logistics Quanterly, 9: 181-186
2. Dinkelbach, D. (1967). On nonlinear fractional programming. Management Science, 13:492-498
3. Gotoh, J. and Konno, H. (2001). Maximization of the ratio of two convex quadratic fructions over a polytope. Computational Optimization and Apllication, 20:43-60
4. Horst, R. and Tuy, H. (1996). Global Optimixation: Deterministic Approaches. 3rd edition. Springer Verlag
5. Konno, K. (2001). Minimization of the sum of several linear fractional functions. In: N. Hadjisavvas (ed.), Advances in Global Optimixation, pp. 3-20. Springer-Verlag
6. Konno, H., Koshizuka, T., and Yamamoto, R. (2005). Optimization of a long-short portfolio under nonconvex transaction cost. Forthcoming in Dynamics of Continuous, Discrete and Im,pulsive Systems
7. Konno, H., Thach, P.T., and Tuy, H. (1997). Optimization on Low Rank Nonconvex Structures. Kluwer Academic Publishers
8. Konno, H., and Watanabe, H. (1996). Nonconvex bond portfolio optimization problems and their applications to index tracking. Journal of the Operetions Research Society of Japan, 39:295-306
9. Konno, H. and Wijayanayake, A. (1999). Mean-absolute deviation portfolio optimization model under transaction costs. Journal of the Operations Research Society of Japan, 42:422-435
10. Konno, H. and Wijayanayake, A. (2000). Portfolio optimization problems under d.c. transaction costs and minimal transaction unit constraints. Journal of Global Optimization, 22:137-154
11. Konno, H. and Wijayanayake, A. (2001a). Optimal rebalancing under concave transaction costs and minimal transaction units constraints. Mathematical Programming, 89:233-250
12. Konno, H. and Wijayanayake, A. (2001b). Minimal cost index tracking under concave transaction costs. International Journal of Theoretical and Applied Finance, 4:939-957
13. Konno, H. and Yamamoto, R. (2001). Minimal concave cost rebalance to the efficient frontier. MathematicalProgramming, B89:233-250
14. Konno, H. and Yamamoto, R. (2003). Global Optimixation us. Integer Programming in Portfolio Optimization Under Nonconvex Transaction Cost. Working paper, ISE 03-07, Department of Industrial and Systems Engineering, Chuo University
15. Konno, H. and Yamazaki, H. (1991). Mean-absolute deviation portfolio optimization model and its applications to Tokyo stock market. Management Science, 37:519-531
16. Lo, A. and MacKinlay, C. (1997). Maximizing predictablity in stock and bond markets. Microeconomic Dynamics, 1:102-134
17. Maranas, C., Androulakis, I., Berger, A., Floudas, C.A., and Mulvey, J.M. (1997). Solving tochastic control problems in finance via global optimization, Journal of Economic Dynamics and Control. 21:1405-1425
18. Markowitz, H. (1959). Portfolio Selection; Eficient Diversification of Investment. John Wiley & Sons
19. Mulvey, J.M. (2001). Introduction to financial optimization: Mathematical programming special issue. Mathmatical Programming, B89:205-216
20. Perold, A. (1984). Large scale portfolio optimization. Management Science, 30:1143-1160
21. Phong, T.Q., An, L.T.H., and Tao, P.D. (1995). On globally solving linearly constrained indefinite quadratic minimization problem by decomposition branch and bound method. Operations Research Letters, 17:215-220
22. Rinnooy-Kan, A.H. and Timmer, G.T. (1989). Global optimization, In: Nemhauser, G.L. et al. (eds.), Handbooks in Operations Research and Management Science, vol. 1, Chapter 9. Elsevier Science Publishers, B.V.
23. Rockafellar, R.T. and Uryasev, S. (2001). Optimization of conditional value-at.-risk. Journal of Risk, 2:21-41
24. Thach, P.T., Konno, H., and Yokota, D. (1996). A dual approach to a mimimization on the set of Pareto-optimal solutions. Journal of Optimization Theory and Applications, 88:689-707
25. Tuy, H. (1998). Convex Analysis and Global Optimixation. Kluwer Academic Publishers, Dordrecht
26. Yamamoto, Y. (2002). Optimization over the efficient set: Overview. Journal of Global Optimixation, 22:285-317
27. Zangwill, W. (1968). Minimun concave cost flows in certain networks. Management Science, 14:429-450